query_question: For the circuit in <image 1>, calculate the current in $I_1$ in terms of A. Provide your answer as a complex number (like 0.2 + j0.4).
options: ['0.125 + j0.330', '0.15 + j0.330', '0.125 + j0.390', '0.121 + j0.380']
demo_question_list: For the INVERTER shown in <image 1>. Find the value of $C_s$ for full compensation.  For the transistor, $h_{FE(min)}$ = 60 $r_{b'e}$ = 1200$\Omega$, $C_i$ = 100pF, $V_{BE(ON)}$ = 0.7V, $V_{sat}$ = 0.2V. $V_i$ = 6V when on.
  
  Answer the question using a single word or phrase.  In <image 1>. $v_c = sin 2 \pi T$. Find an expression for i and calculate i at the instants t = 1/2s.
  A. $3 \pi x 10^-5 A$
  B. $0 \pi x 10^-5 A$
  C. $1 \pi x 10^-5 A$
  D. $-2 \pi x 10^-5 A$
  
  Answer with the option's letter from the given choices directly. Find the $A_v$ of the following circuit in <image 1> and $R_{EU}$ is 100$\Omega$.
  
  Answer the question using a single word or phrase. Using superposition and Laplace transform techniques, calculate the voltage $v_2(t)$ in <image 1>.
  A. $[2 - 2.4e^{-(1 / 2)t} - (1 / \sqrt{5}) cos (t - 63.44^{\circ})] u(t)$
  B. $[2 - 2.4e^{-(1 / 2)t} - (1 / \sqrt{3}) sin (t - 63.44^{\circ})] u(t)$
  C. $[2 - 2.1e^{-(1 / 2)t} - (1 / \sqrt{5}) sin (t - 63.44^{\circ})] u(t)$
  D. $[2 - 2.4e^{-(1 / 2)t} - (1 / \sqrt{5}) sin (t - 63.44^{\circ})] u(t)$
  
  Answer with the option's letter from the given choices directly.